A2-web immanants

Pavlo Pylyavskyy

Research output: Contribution to journalArticlepeer-review

2 Scopus citations

Abstract

We describe the rank 3 Temperley-Lieb-Martin algebras in terms of Kuperberg's A2-webs. We define consistent labelings of webs and use them to describe the coefficients of decompositions into reduced webs. We introduce web immanants, inspired by Temperley-Lieb immanants of Rhoades and Skandera. We show that web immanants are positive when evaluated on totally positive matrices and describe some further properties.

Original languageEnglish (US)
Pages (from-to)2183-2197
Number of pages15
JournalDiscrete Mathematics
Volume310
Issue number15-16
DOIs
StatePublished - Aug 28 2010
Externally publishedYes

Keywords

  • Immanants
  • Temperley-Lieb-Martin algebra
  • Total positivity

Fingerprint

Dive into the research topics of 'A<sub>2</sub>-web immanants'. Together they form a unique fingerprint.

Cite this